Search a number
-
+
74530160640 = 21937513
BaseRepresentation
bin100010101101001011…
…0000000000000000000
321010101010122110000000
41011122112000000000
52210114210120030
654123320000000
75245632625035
oct1053226000000
9233333573000
1074530160640
1129676372891
1212540000000
137049b51290
14387053338c
151e131aa860
hex115a580000

74530160640 has 640 divisors, whose sum is σ = 288903384000. Its totient is φ = 18345885696.

The previous prime is 74530160633. The next prime is 74530160651. The reversal of 74530160640 is 4606103547.

It is a happy number.

74530160640 is a `hidden beast` number, since 7 + 4 + 5 + 3 + 0 + 1 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74530160595 and 74530160604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5733089274 + ... + 5733089286.

Almost surely, 274530160640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74530160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144451692000).

74530160640 is an abundant number, since it is smaller than the sum of its proper divisors (214373223360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74530160640 is an frugal number, since it uses more digits than its factorization.

74530160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 74530160640 in words is "seventy-four billion, five hundred thirty million, one hundred sixty thousand, six hundred forty".